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341413421102240 = 25537181318625337
BaseRepresentation
bin100110110100000111000000…
…1101011111011010010100000
31122202211210201100001000210012
41031220032001223323102200
5324222204141300232430
63210043054352024052
7131625206563632614
oct11550160153732240
91582753640030705
10341413421102240
119986a689645613
123236025bb32028
13118671bbc97756
1460446d7b81344
152970e2eabd695
hex1368381afb4a0

341413421102240 has 96 divisors (see below), whose sum is σ = 832965652615824. Its totient is φ = 132140299345920.

The previous prime is 341413421102213. The next prime is 341413421102251. The reversal of 341413421102240 is 42201124314143.

It can be written as a sum of positive squares in 8 ways, for example, as 170526720553744 + 170886700548496 = 13058588^2 + 13072364^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 341413421102197 and 341413421102206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158241149 + ... + 160384188.

Almost surely, 2341413421102240 is an apocalyptic number.

It is an amenable number.

341413421102240 is an abundant number, since it is smaller than the sum of its proper divisors (491552231513584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341413421102240 is a wasteful number, since it uses less digits than its factorization.

341413421102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318625570 (or 318625562 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 341413421102240 its reverse (42201124314143), we get a palindrome (383614545416383).

The spelling of 341413421102240 in words is "three hundred forty-one trillion, four hundred thirteen billion, four hundred twenty-one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 181 185 296 362 370 592 724 740 905 1184 1448 1480 1810 2896 2960 3620 5792 5920 6697 7240 13394 14480 26788 28960 33485 53576 66970 107152 133940 214304 267880 535760 1071520 318625337 637250674 1274501348 1593126685 2549002696 3186253370 5098005392 6372506740 10196010784 11789137469 12745013480 23578274938 25490026960 47156549876 50980053920 57671185997 58945687345 94313099752 115342371994 117891374690 188626199504 230684743988 235782749380 288355929985 377252399008 461369487976 471565498760 576711859970 922738975952 943130997520 1153423719940 1845477951904 1886261995040 2133833881889 2306847439880 4267667763778 4613694879760 8535335527556 9227389759520 10669169409445 17070671055112 21338338818890 34141342110224 42676677637780 68282684220448 85353355275560 170706710551120 341413421102240